diff --git a/patroni/api.py b/patroni/api.py
index d718a6e9..5acd1fa1 100644
--- a/patroni/api.py
+++ b/patroni/api.py
@@ -825,32 +825,20 @@ class RestApiServer(ThreadingMixIn, HTTPServer, Thread):
                 else:
                     logger.error('Bad value in the "restapi.verify_client": %s', verify_client)
             self.__ssl_serial_number = self.get_certificate_serial_number()
-            self.socket = ctx.wrap_socket(self.socket, server_side=True)
+            self.socket = ctx.wrap_socket(self.socket, server_side=True, do_handshake_on_connect=False)
         if reloading_config:
             self.start()
 
     def process_request_thread(self, request, client_address):
-        if isinstance(request, tuple):
-            sock, newsock = request
-            try:
-                request = sock.context.wrap_socket(newsock, do_handshake_on_connect=sock.do_handshake_on_connect,
-                                                   suppress_ragged_eofs=sock.suppress_ragged_eofs, server_side=True)
-            except socket.error:
-                return
+        enable_keepalive(request, 10, 3)
+        if hasattr(request, 'context'):  # SSLSocket
+            request.do_handshake()
         super(RestApiServer, self).process_request_thread(request, client_address)
 
-    def get_request(self):
-        sock = self.socket
-        newsock, addr = socket.socket.accept(sock)
-        enable_keepalive(newsock, 10, 3)
-        if hasattr(sock, 'context'):  # SSLSocket, we want to do the deferred handshake from a thread
-            newsock = (sock, newsock)
-        return newsock, addr
-
     def shutdown_request(self, request):
-        if isinstance(request, tuple):
-            _, request = request  # SSLSocket
-        return super(RestApiServer, self).shutdown_request(request)
+        if hasattr(request, 'context'):  # SSLSocket
+            request.unwrap()
+        super(RestApiServer, self).shutdown_request(request)
 
     def get_certificate_serial_number(self):
         if self.__ssl_options.get('certfile'):
diff --git a/tests/test_api.py b/tests/test_api.py
index 73f81412..641871af 100644
--- a/tests/test_api.py
+++ b/tests/test_api.py
@@ -12,6 +12,7 @@ from patroni.ha import _MemberStatus
 from patroni.utils import tzutc
 from six import BytesIO as IO
 from six.moves import BaseHTTPServer
+from six.moves.socketserver import ThreadingMixIn
 from . import psycopg_connect, MockCursor
 from .test_ha import get_cluster_initialized_without_leader
 
@@ -586,32 +587,14 @@ class TestRestApiServer(unittest.TestCase):
     def test_socket_error(self):
         self.assertRaises(socket.error, MockRestApiServer, Mock(), '', {'listen': '*:8008'})
 
-    @patch.object(MockRestApiServer, 'finish_request', Mock())
+    @patch.object(ThreadingMixIn, 'process_request_thread', Mock())
     def test_process_request_thread(self):
-        mock_socket = Mock()
-        self.srv.process_request_thread((mock_socket, 1), '2')
-        mock_socket.context.wrap_socket.side_effect = socket.error
-        self.srv.process_request_thread((mock_socket, 1), '2')
-
-    @patch.object(socket.socket, 'accept')
-    def test_get_request(self, mock_accept):
-        newsock = Mock()
-        mock_accept.return_value = (newsock, '2')
-        self.srv.socket = Mock()
-        self.assertEqual(self.srv.get_request(), ((self.srv.socket, newsock), '2'))
+        self.srv.process_request_thread(Mock(), '2')
 
     @patch.object(MockRestApiServer, 'process_request', Mock(side_effect=RuntimeError))
+    @patch.object(MockRestApiServer, 'get_request', Mock(return_value=(Mock(), ('127.0.0.1', 55555))))
     def test_process_request_error(self):
-        mock_address = ('127.0.0.1', 55555)
-        mock_socket = Mock()
-        mock_ssl_socket = (Mock(), Mock())
-        for mock_request in (mock_socket, mock_ssl_socket):
-            with patch.object(
-                MockRestApiServer,
-                'get_request',
-                Mock(return_value=(mock_request, mock_address))
-            ):
-                self.srv._handle_request_noblock()
+        self.srv._handle_request_noblock()
 
     @patch('ssl._ssl._test_decode_cert', Mock())
     def test_reload_local_certificate(self):